All Problems

Mechanical Oscillations

Problem 4.89

Due to the external vertical force Fx=F0F_{x}=F_{0} cos wt a body suspended by a spring performs forced steady-state oscillations according to the law x=acos⁡(ωt−φ)x=a \cos (\omega t-\varphi). Find the work performed by the force FF during one oscillation period.

Reveal Answer
A=πaF0sin⁡φA=\pi a F_{0} \sin \varphi
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